253797 has 8 divisors (see below), whose sum is σ = 349440. Its totient is φ = 163680.

The previous prime is 253789. The next prime is 253801. The reversal of 253797 is 797352.

253797 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 253797 - 2³ = 253789 is a prime.

It is an Ulam number.

253797 is strictly pandigital in base 7.

253797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2²⁵³⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

253797 is a deficient number, since it is larger than the sum of its proper divisors (95643).

253797 is a wasteful number, since it uses less digits than its factorization.

253797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763.

The product of its digits is 13230, while the sum is 33.

The square root of 253797 is about 503.7826912469. The cubic root of 253797 is about 63.3133793710.

The spelling of 253797 in words is "two hundred fifty-three thousand, seven hundred ninety-seven".